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Finding the Fourth Proportional to 56,177.38, 77,529.71 and 31,031.74

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Solution

The fourth proportional to 56,177.38, 77,529.71 and 31,031.74 is: 42,826.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,177.38 : 77,529.71 = 31,031.74 : x
  2. Step 2: Convert to fraction form
    56,177.38/77,529.71 = 31,031.74/x
  3. Step 3: Cross multiply
    56,177.38x = 77,529.71 × 31,031.74
  4. Step 4: Simplify right side
    56,177.38x = 2,405,881,260.19
  5. Step 5: Solve for x
    x = 2,405,881,260.19/56,177.38
  6. Step 6: Final answer
    x = 42,826.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.